概要 | This talk is based on the collaboration with Hiroki Minamide and
Kota Yoshioka (arXiv:1106.5217).
The behavior of Gieseker stability under Fourier-Mukai transform is an
important subject in the study of moduli of semi-stable sheaves. The main
object of our study is the translation of this subject into the language of
Bridgeland's stability conditions.
By studying the wall-crossing behavior, we can also reprove that the
moduli spaces of stable sheaves on abelian surfaces are birationally
equivalent under certain conditions. |